105002777060 has 12 divisors (see below), whose sum is σ = 220505831868. Its totient is φ = 42001110816.

The previous prime is 105002777053. The next prime is 105002777081. The reversal of 105002777060 is 60777200501.

It can be written as a sum of positive squares in 2 ways, for example, as 34575171136 + 70427605924 = 185944^2 + 265382^2 .

It is a super-2 number, since 2×105002777060² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105002777060.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2625069407 + ... + 2625069446.

It is an arithmetic number, because the mean of its divisors is an integer number (18375485989).

Almost surely, 2^105002777060 is an apocalyptic number.

105002777060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105002777060 is an abundant number, since it is smaller than the sum of its proper divisors (115503054808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105002777060 is a wasteful number, since it uses less digits than its factorization.

105002777060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250138862 (or 5250138860 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

Adding to 105002777060 its reverse (60777200501), we get a palindrome (165779977561).

The spelling of 105002777060 in words is "one hundred five billion, two million, seven hundred seventy-seven thousand, sixty".